In the figure shown magnetic field \(B\) is constant and uniform and in the direction perpendicular to the plane of paper. Velocity of a conducting wire \(YZ\) is varying with time as \(v = v_0 \ \cos (\omega t)\). Find the value of \(\omega\) (in \(\text{rad/sec}\)) so that heat generated in circuit will be maximum (neglect friction and resistance of rails).

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